All numbers are regarded as powers of some one number, which is called the base of the system ; and the exponent of that power of the base which is equal to a given number, is called the logarithm of that number. The base of the common system of logarithms... Elements of Trigonometry: Plane and Spherical - Pągina 117per Lefébure de Fourcy (M., Louis Etienne) - 1868 - 288 pąginesVisualització completa - Sobre aquest llibre
| Joseph Ray - 1852 - 396 pągines
...system of logarithms, all numbers are considered as the powers of some one number, arbitrarily assumed, **which is called the base of the system ; and the exponent of that** ftouw of the base, which is equal to any given number, is called Out LOGARITHM of that number. Thus,... | |
| Joseph Ray - 1866 - 406 pągines
...(a')5=a15, $ If some number, arbitrarily assumed, be taken as a base, then The LOGARITHM of any number is **the exponent of that power of the base, which is equal to** that number. G2=N, a3=N', a*=W, then, 2, 3, and x are called the logarithms of N, N', and N", in the... | |
| Elias Loomis - 1868 - 194 pągines
...and that they will be pronounced sufficiently extensive for all purposes of academic and colleglife **instruction, as well as for practical mechanics and...called the logarithm of that number. The base of the** cqmmon system of logarithms (called, from their inventor, Briggs' logarithms) is the number 10. Hence... | |
| ELIAS LOOMIS, L.L.D. - 1868
...square root of x+y , each member, we have a 2 = Vmn. Therefore, is the A logarithm of Vmn, since it is **the exponent of that power of the base which is equal to** Vmn. Now, in Briggs's system, the logarithm of 10 is 1, of 100 is 2, etc. Hence the logarithm of VlO... | |
| Elias Loomis - 1871 - 58 pągines
...the lahor of Multiplication and Division, by substituting in their stead Addition and Subtraction. **All numbers are regarded as powers of some one number,...the common system of logarithms (called, from their** inventor, Briggs' logarithms) is the number 10. Hence all numbers are to be regarded as powers of 10.... | |
| Elias Loomis - 1873 - 360 pągines
...(2.) Therefore, according to the definition of logarithms, x+y is the logarithm of mn, since it is **the exponent of that power of the base which is equal to** mn. For convenience, we will use log. to denote logarithm, and we have x+y=log. mn=log. m + log. n.... | |
| Elias Loomis - 1877 - 443 pągines
...diminish the labor of multiplication and division by substituting in their stead addition and subtraction. **All numbers are regarded as powers of some one number,...called the base of the system ; and the exponent of** the power to which the base must be raised in order to be equal to a given number is called the logarithm... | |
| Elias Loomis - 1886 - 199 pągines
...the labor of Multiplication and Division, by substituting in their stead Addition and Subtraction. **All numbers are regarded as powers of some one number,...exponent of that power of the base which is equal** toa given number is called the logarithm of that number. The base of the common system of logarithms... | |
| Elias Loomis - 1895 - 436 pągines
...diminish the labor of multiplication and division by substituting in their stead addition and subtraction. **All numbers are regarded as powers of some one number, which is called the base of the system ; and** thl exponent of the power to which the base must be raised in order t: be equal to a given number is... | |
| Denton Jaques Snider - 1909 - 578 pągines
...which thus becomes the base of a logarithmic sytem. Moreover, the logarithm of any given number is **the exponent of that power of the base which is equal to** the given number. It is manifest that we sec here a return to involution; any number by its own self-involution... | |
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